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具有奇优美性的一类龙图 被引量:5

A Class of Dragon Graphs with Odd-Gracefulness
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摘要 根据复杂网络研究的需要,定义了(k,m)-龙图和一致(k,m)-龙图,这类图具有优美性、奇优美性等性质.主要研究了这类龙图的奇优美性,定义了这类龙图的奇优美标号,其证明方法可算法化. Based on the need of research of complex networks,we define a class of graphs,called(k,m)-dragon graphs and uniformly(k,m)-dragon graphs,which are graceful or odd-graceful.We propose and define the notion of odd graceful labelings of dragon graphs and investigate their odd-gracefulness in detail. Our methods can be algorithmic.Through the definition of dragon graphs and proofs of their theorems,we get some simple but useful conclusions.
出处 《西南大学学报(自然科学版)》 CAS CSCD 北大核心 2014年第4期47-51,共5页 Journal of Southwest University(Natural Science Edition)
基金 国家自然科学基金资助项目(61163054 61163037) 甘肃省自然科学基金(3ZS051-A25-025)
关键词 龙图 奇优美标号 奇优美图 dragon graph odd-graceful labeling odd-graceful graph
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参考文献9

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